Bornological Spaces of Non-Archimedean Valued Functions with the Compact- Open Topology

DOI10.2307/2043055zbMath0437.46066OpenAlexW4255618474MaRDI QIDQ3878227

Willy Govaerts

Publication date: 1980

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2043055

zbMATH Keywords

compact-open topologybornological spacesnon-Archimedean valued fieldultraregular spacenon-Archimedean valued functionZ-replete space

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Barrelled spaces, bornological spaces (46A08)

Related Items (3)

On the topology of simple convergence in non-Archimedean function spaces ⋮ Bornological properties of spaces of non-Archimedean valued functions ⋮ Fréchet spaces of non-archimedean valued continuous functions

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